Takahiro Nishimichi^6,12,13, Masamune Oguri^6,14,15, Ken Osato^6,14,15, Markus M. Rau^16,17, Masato Shirasaki^18,19, Tomomi Sunayama^6,9,20, and Masahiro Takada^6,21

• ¹Department of Physics and Astronomy and PITT PACC, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
• ²McWilliams Center for Cosmology and Astrophysics, Department of Physics, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, Pennsylvania 15213, USA
• ³Brookhaven National Laboratory, Building 510, Upton, New York 11973, USA
• ⁴Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
• ⁵The Inter-University Centre for Astronomy and Astrophysics, Post bag 4, Ganeshkhind, Pune 411007, India
• ⁶Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study (UTIAS), The University of Tokyo, Chiba 277-8583, Japan
• ⁷American Astronomical Society, 1667 K Street NW 800, Washington, DC 20006, USA
• ⁸Department of Physics, Duke University, Durham, North Carolina 27708, USA
• ⁹Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI), Nagoya University, Nagoya, 464-8602, Japan
• ¹⁰Institute for Advanced Research, Nagoya University, Nagoya 464-8601, Japan
• ¹¹Gifu Shotoku Gakuen University, 1-1 Takakuwanishi, Yanaizu, Gifu, 501-6194, Japan
• ¹²Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
• ¹³Department of Astrophysics and Atmospheric Sciences, Faculty of Science, Kyoto Sangyo University, Motoyama, Kamigamo, Kita-ku, Kyoto 603-8555, Japan
• ¹⁴Center for Frontier Science, Chiba University, Chiba 263-8522, Japan
• ¹⁵Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan
• ¹⁶School of Mathematics, Statistics and Physics,Newcastle University, Newcastle upon Tyne, NE17RU, United Kingdom
• ¹⁷High Energy Physics Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
• ¹⁸National Astronomical Observatory of Japan, National Institutes of Natural Sciences, Mitaka, Tokyo 181-8588, Japan
• ¹⁹The Institute of Statistical Mathematics, Tachikawa, Tokyo 190-8562, Japan
• ²⁰Academia Sinica Institute of Astronomy and Astrophysics (ASIAA), No. 1, Sec. 4, Roosevelt Road, Taipei 106319, Taiwan, Republic of China
• ²¹Center for Data-Driven Discovery (CD3), Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan

• ^*Contact author: tq.zhang@pitt.edu